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Finding the Third Proportional to 9,249.19 and 17,864.30

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Solution

The third proportional to 9,249.19 and 17,864.30 is: 34,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.19 : 17,864.30 = 17,864.30 : x
  2. Step 2: Convert to fraction form
    9,249.19/17,864.30 = 17,864.30/x
  3. Step 3: Cross multiply
    9,249.19x = 17,864.30 × 17,864.30
  4. Step 4: Simplify right side
    9,249.19x = 319,133,102.84
  5. Step 5: Solve for x
    x = 319,133,102.84/9,249.19
  6. Step 6: Final answer
    x = 34,503.91

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.